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postnew [5]
3 years ago
14

Please help me with this problem​

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

Answer:

<em>The measures of angles A, B, and C are respectively 21°, 125°, and 34°</em>

Step-by-step explanation:

<u>Equations</u>

We are given some conditions applying to the internal angles on a triangle ABC.

The measure of angle A is 13 less than the measure of angle C.

The measure of angle B is 11 less than 4 times the measure of angle C

Let x = measure of angle C

The first conditions states:

m\angle A = x-13

The second conditions states:

m\angle B = 4x-11

The sum of all angles must be 180°, thus:

x - 13 + 4x - 11 + x = 180

Simplifying:

6x -24 = 180

Adding 24:

6x = 204

Dividing by 6:

x = 204/6

x = 34

m\angle C = x = 34^\circ

m\angle B = 4x-11 = 4*34-11 = 125^\circ

m\angle A = x -  13 = 34 - 13 = 21^\circ

The measures of angles A, B, and C are respectively 21°, 125°, and 34°

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